Answer:
Redskins cost $0.25 and golden roughs cost $0.35.
Step-by-step explanation:
Let r be the cost of a redskin and g the cost of golden roughs. So we have the system of equations:
r + 4g = 1.65
2r + 3g = 1.55
Multiply the first equation by -2:
-2r - 8g = -3.30
Adding this to the second equation:
-5g = -1.75
g = 0.35.
Now substitute this into the first equation:
r + 4*0.35 = 1.65
r = 1.65 - 1.40
r = 0.25.
<span>FALSE - The domain is all real numbers
TRUE - downward parabola, max-point vertex (-2, 6) So the range is </span><span>{y|y ≤ 6}.</span><span>
TRUE - increases to vertex over the interval (–∞ , –2).
FALSE - The function only decreases from vertex over the interval (−2, ∞).
TRUE - The function has a positive y-intercept.
-(0)^2 - 4(0) + 2 = 2 </span>
Answer:
f(x) = 12x³ - 19x² + 17x - 17
Step-by-step explanation:
We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.
We're given a denominator of 4x - 5
a quotient of 3x² - x + 3
and a remainder of -2
so the original numerator is:
(4x - 5)(3x² - x + 3) - 2
= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2
= 12x³ - 19x² + 17x - 17
Let's test that by dividing it by 4x -5 with long division:
That matches, so we know our answer's right, and:
f(x) = 12x³ - 19x² + 17x - 17
Since all the inside angles are 60, in order to add up to 180, the outside angles need to be 120.
